She brusquely rebuffed my offer.

Literal

She [topic-は] my offer [object-を] curtly rebuffed.

はねつける (also written 撥ね付ける) is a vivid native compound verb literally 'to flick away,' used figuratively for 'flatly reject, spurn, rebuff.' Built from はねる ('to splash, repel, knock off') + つける ('to attach, apply'), it captures the gesture of a brusque refusal that bats the proposal aside. Combined with そっけなく ('curtly') the rejection becomes doubly cold — flat in manner and flat in substance. A more dramatic alternative to plain 断る.